If `ahati+bhatj+chatk` be a unit vector and z is a comple number such that `(1+a)z=b+ic, then (1-iz)/(1+z` (A) `(a+ib)/(1+z)` (B) `(1+c)/(a+ib)` (C) `(a+ib)(1+c)` (D) none of these

If z = a+ib is a complex numbers, then

If a,b,c are real numbers and z is a complex number such that,a^(2)+b^(2)+c^(2)=1 and b+ic=(1+a)z then (1+iz)/(1-iz) equals.(a) (b-ic)/(1-ia) (b) (a+ib)/(1+c) (c) (1-c)/(a-ib)( d) (1+a)/(b+ic)

If z(1+a)=b+icanda^(2)+b^(2)+c^(2)=1 then [(1+iz)/(1-iz)=(a+ib)/(1+c) b.(b-ic)/(1+a)c(a+ic)/(1+b) d.none of these

If (x+iy)^(1/3)=a+ib, then (x)/(a)=(y)/(b)=0b1c.-1d .none of these

If z_1=a+ib and z_2=c+id are two complex numbers then z_1 gt z_2 is meaningful if

The modulus of the complex number z =a +ib is

If iz^(3)+z^(2)-z+i=0, where i=sqrt(-1) then |z| is equal to 1 (b) (1)/(2)(c)(1)/(4) (d) None of these

The points A(z_1), B(z_2) and C(z_3) form an isosceles triangle in the Argand plane right angled at B, then (z_1-z_2)/(z_3-z_2) can be (A) 1 (B) -1 (C) -i (D) none of these

If f(z)=(7-z)/(1-z^2) , where z=1+2i , then |f(z)| is (a)(|z|)/2 (b) |z| (c) 2|z| (d) none of these

The image of a complex number z in the imaginary axis is (A) z (B) iz(C)-z(D)-iz